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Finding the Third Proportional to 484,800 and 1,041,564

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Solution

The third proportional to 484,800 and 1,041,564 is: 2,237,738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,800 : 1,041,564 = 1,041,564 : x
  2. Step 2: Convert to fraction form
    484,800/1,041,564 = 1,041,564/x
  3. Step 3: Cross multiply
    484,800x = 1,041,564 × 1,041,564
  4. Step 4: Simplify right side
    484,800x = 1,084,855,566,096
  5. Step 5: Solve for x
    x = 1,084,855,566,096/484,800
  6. Step 6: Final answer
    x = 2,237,738.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.